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Finding the Third Proportional to 94,248 and 123,875

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Solution

The third proportional to 94,248 and 123,875 is: 162,815.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,248 : 123,875 = 123,875 : x
  2. Step 2: Convert to fraction form
    94,248/123,875 = 123,875/x
  3. Step 3: Cross multiply
    94,248x = 123,875 × 123,875
  4. Step 4: Simplify right side
    94,248x = 15,345,015,625
  5. Step 5: Solve for x
    x = 15,345,015,625/94,248
  6. Step 6: Final answer
    x = 162,815.29

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.